• Title/Summary/Keyword: Lumped Parameter Method

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A decoupling FEM for simulating near-field wave motion in two-phase media

  • Chen, S.L.;Liao, Z.P.;Chen, J.
    • Structural Engineering and Mechanics
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    • v.25 no.2
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    • pp.181-200
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    • 2007
  • A decoupling technique for simulating near-field wave motions in two-phase media is introduced in this paper. First, an equivalent but direct weighted residual method is presented in this paper to solve boundary value problems more explicitly. We applied the Green's theorem for integration by parts on the equivalent integral statement of the field governing equations and then introduced the Neumann conditions directly. Using this method and considering the precision requirement in wave motion simulation, a lumped-mass FEM for two-phase media with clear physical concepts and convenient implementation is derived. Then, considering the innate attenuation character of the wave in two-phase media, an attenuation parameter is introduced into Liao's Multi-Transmitting Formula (MTF) to simulate the attenuating outgoing wave in two-phase media. At last, two numerical experiments are presented and the numerical results are compared with the analytical ones demonstrating that the lumped-mass FEM and the generalized MTF introduced in this paper have good precision.

A HEART MODEL IN THE CIRCULATORY SYSTEM

  • Jung, E.;Kim, Y.;Lee, W.
    • 한국전산유체공학회:학술대회논문집
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    • 2011.05a
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    • pp.266-268
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    • 2011
  • We present a mathematical model of left heart governed by the partial differential equations. This heart is coupled with a lumped model of the whole circulatory system governed by the ordinary differential equations. The immersed boundary method is used to investigate the intracardiac blood flow and the cardiac valve motions of the normal circulation in humans. We investigate the intraventricular velocity field and the velocity curves over the mitral ring and across outflow tract. The pressure and flow are also measured in the left and right heart and the systemic and pulmonary arteries. The simulation results are comparable to the existing measurements.

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Least square simulation and hierarchical optimal control of distributed parameter systems

  • Ahn, Doo-Soo;Lee, Myung-Kyu;OH, Min-Hwan;Bae, Jong-Il;Shim, Jae-Sun
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1066-1070
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    • 1990
  • This paper presents a method for the optimal control of the distributed parameter systems (DPSs) by a hierarehical computational procedure. Approximate lumped parameter systems (LPSs) are derived by using the Galerkin method employing the Legendre polynomials as the basis functions. The DPSs however, are transformed into the large scale LPSs. And thus, the hierarchical control scheme is introduced to determine the optimal control inputs for the obtained LPSs. In addition, an approach to block pulse functions is applied to solve the optimal control problems of the obtained LPSs. The proposed method is simple and efficient in computation for the optimal control of DPSs.

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Seismic Response Analysis of a Large Scale Soil-Structure Interaction Test Structure on Flexible Site (유연지반상 대형내진시험구조물의 지진응답해석)

  • 조양희
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1997.04a
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    • pp.257-264
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    • 1997
  • Seismic responses of the Hualien large scale seismic test model on a layered soil site are estimated for two recorded earthquakes and the analysis results are then compared and evaluated with the recorded responses. The method adopted for the analysis is based on substructuring method using a lumped parameter model in both the frequency and time domain. the study results indicate that the proposed method can reasonably estimate the earthquake responses of a soil-structure interaction system for engineering purposes.

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Identification of Structural Parameters from Frequency Response Functions (주파수 응답함수를 이용한 구조 파라메터 예측)

  • Kim, Kyu-Sik;Kang, Yeon-June
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.863-869
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    • 2007
  • An improved method based on a normal frequency response function (FRF) is proposed to identify structural parameters such as mass, stiffness and damping matrices directly from the FRFs of a linear mechanical system. The method for estimating structural parameters directly from the measured FRFs of a structure is presented. This paper demonstrates that the characteristic matrices are extracted more accurately by using a weighted equation and eliminating the matrix inverse operation. The method is verified for a four degree-of-freedom lumped parameter system and an eight degree-of-freedom finite element beam. Experimental verification is also performed for a free-free steel beam whose size and physical properties are the same as those of the finite element beam. The results show that the structural parameters, especially the damping matrix, can be estimated more accurately by the proposed method.

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A Study on State Analysis of Heat Exchange between Counter-Flow Fluid via Fast Walsh Transform (고속 월쉬 변환을 이용한 이동 유체간 열교환 상태 해석에 관한 연구)

  • Kim, Tae-Hoon;Lee, Seung
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.15 no.6
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    • pp.73-81
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    • 2001
  • This study uses the distributed parameter systems resented by the spatial discretization technique. In this paper, the distributed parameter systems are converted into lumped parameter systems, End fast Walsh transform and the Picard's iteration method are allied to analysis the state of the systems. This thesis presents a new algorithm which usefully exercises the optimal contro1 in the distributed parameter systems. In exercising the optimal control of the distributed parameter systems, the excellent consequences are found without using the existing decentralized contro1 or hierarchical control method. This study can be applied to the linear time-varying systems and the non-linear systems. Farther researches are required to solve the problems of convergence in case of the numerous applicable intervals. The simulation proves the effectiveness of the proposed algorithm.

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Optimal Temperature Tracking Control of a Polymerization Batch Reactor by Adaptive Input-Output Linearization

  • Noh, Kap-Kyun;Dongil Shin;Yoon, En-Sup;Rhee, Hyun-Ku
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.1
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    • pp.62-74
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    • 2002
  • The tracking of a reference temperature trajectory in a polymerization batch reactor is a common problem and has critical importance because the quality control of a batch reactor is usually achieved by implementing the trajectory precisely. In this study, only energy balances around a reactor are considered as a design model for control synthesis, and material balances describing concentration variations of involved components are treated as unknown disturbances, of which the effects appear as time-varying parameters in the design model. For the synthesis of a tracking controller, a method combining the input-output linearization of a time-variant system with the parameter estimation is proposed. The parameter estimation method provides parameter estimates such that the estimated outputs asymptotically follow the measured outputs in a specified way. Since other unknown external disturbances or uncertainties can be lumped into existing parameters or considered as another separate parameters, the method is useful in practices exposed to diverse uncertainties and disturbances, and the designed controller becomes robust. And the design procedure and setting of tuning parameters are simple and clear due to the resulted linear design equations. The performances and the effectiveness of the proposed method are demonstrated via simulation studies.

Response Characteristics of a Lumped Parameter Impact System under Random Excitation (집중질량 충격시스템의 불규칙가진에 대한 응답특성)

  • 이창희
    • Journal of KSNVE
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    • v.9 no.4
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    • pp.778-784
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    • 1999
  • A method for obtaining the motion of an impact system whose primary and secondary system are composed of lumped masses, springs and dampers, and all the contacts are made through spring and damping elements is presented. The frequency response functions derived from the equations of motion and the impulse response functions obtained from the inverse Fourier transform of the derived frequency response functions are used for the calculation of the system responses. The procedure developed for the calculation of displacements and force time-histories was based on the convolution integrals of impulse response functions and forces applied to the systems. Time histories of displacements and contact forces are obtained for the case where a random excitation is applied to a point in the system. Impact statistics such as contact forces and the time between impacts calculated from those time histories is presented.

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The Parameter Identification of Tidal Model on The Boundary-Fitted Coordinates (Boundary-Fitted 좌표계로 변환한 2차원조석모형의 매개변수 동정)

  • 김경수;이재형
    • Water for future
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    • v.23 no.3
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    • pp.319-328
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    • 1990
  • The Parameter Identification of 2-demensional estuarine model was carried out using new output ADI-FDM numerical semi-implicit schem transformed in boundary fitted(BF) - coordinate. The hydrodynamic equations which is coupled with the transport equations were used as basic equations in the model. Thompson's equations were used to transform governing equations into rectangular plane equations and his elliptic grid generation scheme was used to generate curvilinear grid system. in BF - coordinates. The parameters to be identified are friction coefficient and disperse coefficient embedded in the governing equations. The numerical output scheme is tidally averaged salinity model in BF - coordinates. The algorithm to optimize norm of error between observations and calculations is the influence coefficinet algorithm associated with least square criterion. The lumped model is conssidered in identification. This paper was concetrated on checking whether the new output scheme might be useful to identify parameters in estuarine salinity model or not. The proposed method was tested through experimental application with hypothetical simple model. The result of the test shows that the proposed method can be used for parameter identification in estuarine model.

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실험 대상에 따른 다양한 Birdcage Resonator의 개발

  • 이정우;윤성익;최보영;이형구;서태석
    • Proceedings of the Korean Society of Medical Physics Conference
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    • 2003.09a
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    • pp.47-47
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    • 2003
  • Abstract: RF Birdcage Resonator는 높은 자장 균질성과 신호 대 잡음비의 특성이 좋음으로 인해 MRI와 MRS 연구에 보편적으로 사용되고 있다. 본 연구는 인체를 비롯한 동물실험을 위한 다양한 실험대상에 따라 코일의 크기를 예측하여 Birdcage Resonator를 개발하였다. Unloaded와 Loaded 상태에서의 전기적인 성향을 Lumped Element Circuit Theory를 따라 일반적인 분석을 하였을 뿐 아니라 실제적인 실험을 통한 분석도 하였다. Introduction: Birdcage Resonator 는 자장 균일성이 뛰어나고 신호대잡음비가 좋아 Magnetic Resonance Imaging과 Spectroscopy에 유용하게 사용되어지고 있다. 이 연구에서는 실험대상에 따른 여러 가지의 Birdcage Resonator를 개발하기 위해 Lumped Element Circuit Theory를 사용한 일반적인 이론적 방법론을 이용하여 코일을 분석하였을 뿐 아니라 실제 제작한 후 실험을 통한 실질적인 영상분석도 병행하여 진행하였다. Method: 실질적인 개발에 앞서 Lumped Element Circuit Theory를 통해 이론적인 분석으로부터 나온 여러 parameter들을 정리하였다. 제작 후 실험적인 분석은 Network Analyzer (HP 4195A, 미국)를 통한 1차적인 분석을 한 후 최종적으로 3T MRI 장비 (메디너스, 한국)에서 수행하였다. 제작된 Birdcage Resonator의 종류는 기본적으로 Low-Pass Filter를 적용한 12-column 구조이다. 각각의 직경과 element의 길이는 다음과 같다. 1) 직경 13cm, element의 길이 22cm, 2) 직경 15cm, element의 길이 22cm, 3) 직경 17 cm, element의 길이 25cm. Result and Discussion: 여러 parameter들을 이론적으로 계산하여 실제 Birdcage Resonator를 제작하여 실험적인 분석을 한 결과 많은 차이가 있음을 알 수 있었다. 그 이유는 이론적인 계산에서는 생각되지 않았던 요인들이 실제 제작에 있어서는 많은 영향을 미쳤기 때문인 것이다. Network Analyzer를 통한 1차적인 분석 후에도 실제의 Magnet Field내에서 또 다시 차이가 나는 것 또한 같은 이유에서이다. 그러므로 Birdcage Resonator 제작에 있어서 이러한 여러 요인들을 충분히 고려하여야 할 것이다. Acknowledgement: 본 연구는 2002 년도 한국과학재단 목적기초연구사업 (과제번호 : R0l-2002-000-00294-0 (2002) 지원아래 수행되었다.

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